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Paper Citation Record · LEDGER

Solving the wave equation with physics-informed deep learning

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2006.11894.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2006.11894 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:55:34.312942Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-10T05:30:23.456663Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

112
pith, observed 2026-08-10T05:30:23.456663Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation a5856965-37fc-499c-8baf-a1f012e1eaad · inbound

Are Two Hidden Layers Still Enough for the Physics-Informed Neural Networks? cites this paper.

Are Two Hidden Layers Still Enough for the Physics-Informed Neural Networks? Solving the wave equation with physics-informed deep learning

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T00:55:34.312942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:55:34.312942Z digest=sha256:d0752ee9aca38dc54c066ef1894a0aa76fba3a7270411b2b751c6e6a8d1a228b

Observation 1cadeff6-fab3-479b-9c00-550092af0c15 · inbound

About rectified sigmoid function for enhancing the accuracy of Physics-Informed Neural Networks cites this paper.

About rectified sigmoid function for enhancing the accuracy of Physics-Informed Neural Networks Solving the wave equation with physics-informed deep learning

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T23:15:24.614166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:15:24.614166Z digest=sha256:f707b0d8020100453446f441434bc4d12f18e08714e67d79f245c2f179d753d3

Observation 0fb81127-ed79-4e6b-86a2-beaee1ab49cf · inbound

PINN-FEM: A Hybrid Approach for Enforcing Dirichlet Boundary Conditions in Physics-Informed Neural Networks cites this paper.

PINN-FEM: A Hybrid Approach for Enforcing Dirichlet Boundary Conditions in Physics-Informed Neural Networks Solving the wave equation with physics-informed deep learning

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T20:41:44.535137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:41:44.535137Z digest=sha256:0ef9448c0c3229ff52d11253e4c23bb0274324c4ff67c52d90bf518c3359b3d6

Observation d3710be2-0d3f-48d6-a698-e6ea66aa1793 · inbound

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation cites this paper.

Physics-Informed Neural Networks for the Korteweg-de Vries Equation for Internal Solitary Wave Problem: Forward Simulation and Inverse Parameter Estimation Solving the wave equation with physics-informed deep learning

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T00:24:12.566651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T00:24:12.566651Z digest=sha256:74bec0cd30895398f333ec496e21e2808f0fb1fdebf1f02429b10592d4f15dd3

Observation 19964b3d-037a-4248-b12a-f1911539c710 · inbound

Three-dimensional crustal deformation analysis using physics-informed deep learning cites this paper.

Three-dimensional crustal deformation analysis using physics-informed deep learning Solving the wave equation with physics-informed deep learning

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:40:43.689187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T20:40:40.037979Z digest=sha256:1478e8d5c9deca2b073e9ef9a7c772f8082ab645aa0e3ed0a77202ca717eda70